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Finding the Third Proportional to 71,952 and 157,014

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Solution

The third proportional to 71,952 and 157,014 is: 342,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,952 : 157,014 = 157,014 : x
  2. Step 2: Convert to fraction form
    71,952/157,014 = 157,014/x
  3. Step 3: Cross multiply
    71,952x = 157,014 × 157,014
  4. Step 4: Simplify right side
    71,952x = 24,653,396,196
  5. Step 5: Solve for x
    x = 24,653,396,196/71,952
  6. Step 6: Final answer
    x = 342,636.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.